Reduce the fractions to their lowest terms and write their reciprocals:
a. 100/60
To reduce the fraction 100/60 to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator, which is 20.
Dividing both the numerator and the denominator by the GCD, we get:
100/20 รท 60/20 = 5/3
Thus, the fraction 100/60 is reduced to its lowest terms as 5/3.
The reciprocal of a fraction is obtained by flipping the numerator and the denominator.
Therefore, the reciprocal of 5/3 is 3/5.